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Finding the Third Proportional to 147,420 and 322,848

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Solution

The third proportional to 147,420 and 322,848 is: 707,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,420 : 322,848 = 322,848 : x
  2. Step 2: Convert to fraction form
    147,420/322,848 = 322,848/x
  3. Step 3: Cross multiply
    147,420x = 322,848 × 322,848
  4. Step 4: Simplify right side
    147,420x = 104,230,831,104
  5. Step 5: Solve for x
    x = 104,230,831,104/147,420
  6. Step 6: Final answer
    x = 707,033.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.